16760 ÷ 3 = 5586 R2
Alright, let's work through the division of 16760 by 3 step by step.

Step 1:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Step 2:
3 goes into 16 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 15 from 16 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 3:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 55
Subtract 15 from 17 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Step 4:
3 goes into 26 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 558
Subtract 24 from 26 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 5:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 5586
Subtract 18 from 20 to get 2.

The final result is 5586 with a remainder of 2.